Answer:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values. Use the graph to find the range.
Step-by-step explanation:
Explanation: y=7 is a straight line with zero slope and y-intercept 7 as shown below. Hence its domain (all allowed x-values) is all real numbers, and its range (all allowed y-values) is only 7.
<em>I hope this helped~ <3</em>
<em>-Dream</em>
Answer:
32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243
Step-by-step explanation:
(2x + 3)⁵
₅C₀ (2x)⁵ (3)⁰ + ₅C₁ (2x)⁴ (3)¹ + ₅C₂ (2x)³ (3)² + ₅C₃ (2x)² (3)³ + ₅C₄ (2x)¹ (3)⁴ + ₅C₅ (2x)⁰ (3)⁵
Use Pascal's triangle to find nCr.
![\left\begin{array}{c}1\\1\ 1\\1\ 2\ 1\\1\ 3\ 3\ 1\\1\ 4\ 6\ 4\ 1\\1\ 5\ 10\ 10\ 5\ 1\end{array}\right](https://tex.z-dn.net/?f=%5Cleft%5Cbegin%7Barray%7D%7Bc%7D1%5C%5C1%5C%201%5C%5C1%5C%202%5C%201%5C%5C1%5C%203%5C%203%5C%201%5C%5C1%5C%204%5C%206%5C%204%5C%201%5C%5C1%5C%205%5C%2010%5C%2010%5C%205%5C%201%5Cend%7Barray%7D%5Cright)
1 (2x)⁵ (3)⁰ + 5 (2x)⁴ (3)¹ + 10 (2x)³ (3)² + 10 (2x)² (3)³ + 5 (2x)¹ (3)⁴ + 1 (2x)⁰ (3)⁵
(2x)⁵ + 15 (2x)⁴ + 90 (2x)³ + 270 (2x)² + 405 (2x)¹ + 243
32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243
Answer:
GCF = 5
Step-by-step explanation:
15x² - 10x + 5
x is not contained in all 3 terms thus is not a factor
15 has factors 1, 3, 5, 15
- 10 has factors ± 1, ± 2, ± 5 , ± 10
5 has factors 1, 5
The common factors are 1, 5
Then GCF = 5
Answer:
4 years difference
Step-by-step explanation: